823799564 has 48 divisors (see below), whose sum is σ = 1713096000. Its totient is φ = 346364928.

The previous prime is 823799521. The next prime is 823799569. The reversal of 823799564 is 465997328.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is not an unprimeable number, because it can be changed into a prime (823799569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67052 + ... + 78380.

It is an arithmetic number, because the mean of its divisors is an integer number (35689500).

Almost surely, 2^823799564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823799564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856548000).

823799564 is an abundant number, since it is smaller than the sum of its proper divisors (889296436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

823799564 is a wasteful number, since it uses less digits than its factorization.

823799564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11407 (or 11391 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 53.

The square root of 823799564 is about 28701.9087170174. The cubic root of 823799564 is about 937.4336077191.

The spelling of 823799564 in words is "eight hundred twenty-three million, seven hundred ninety-nine thousand, five hundred sixty-four".